LCM of 596, 345, 561, 380, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 345, 561, 380, 274 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 596, 345, 561, 380, 274. So, keep reading to learn more.
Given numbers are 596,345,561,380,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,345,561,380,274 is 100087796820.
Find LCM of 596,345,561,380,274 with Prime Factorization
| 2 | 596, 345, 561, 380, 274 |
| 2 | 298, 345, 561, 190, 137 |
| 3 | 149, 345, 561, 95, 137 |
| 5 | 149, 115, 187, 95, 137 |
| 149, 23, 187, 19, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 149 x 23 x 187 x 19 x 137 = 100087796820
Therefore, the lowest common multiple of 596,345,561,380,274 is 100087796820.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
596 x 345 x 561 x 380 x 274 = 12010535618400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
596 : 1, 2, 4, 149, 298, 596
345 : 1, 3, 5, 15, 23, 69, 115, 345
561 : 1, 3, 11, 17, 33, 51, 187, 561
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,345,561,380,274, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
345:3x 5x 23
561:3x 11x 17
380:2x 2x 5x 19
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12010535618400/(1x120)
LCM = 12010535618400/120
LCM = 100087796820
Thus, we can understand that the LCM of 596,345,561,380,274 is 100087796820.
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FAQs on LCM of 596, 345, 561, 380, 274
1. What is the LCM of 596, 345, 561, 380, 274?
Answer: LCM of 596, 345, 561, 380, 274 is 100087796820.
2. How to calculate the LCM of 596, 345, 561, 380, 274?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 596, 345, 561, 380, 274.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.